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Finding the Fourth Proportional to 240.52, 358.16 and 234.10

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Solution

The fourth proportional to 240.52, 358.16 and 234.10 is: 348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.52 : 358.16 = 234.10 : x
  2. Step 2: Convert to fraction form
    240.52/358.16 = 234.10/x
  3. Step 3: Cross multiply
    240.52x = 358.16 × 234.10
  4. Step 4: Simplify right side
    240.52x = 83,845.26
  5. Step 5: Solve for x
    x = 83,845.26/240.52
  6. Step 6: Final answer
    x = 348.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.